Atkin-Lehner |
3+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
122199b |
Isogeny class |
Conductor |
122199 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
148651274190573 = 34 · 72 · 11 · 237 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 11+ -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-713103,-232076688] |
[a1,a2,a3,a4,a6] |
j |
270902819202625/1004157 |
j-invariant |
L |
0.65716074306959 |
L(r)(E,1)/r! |
Ω |
0.16429017121615 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5313c2 |
Quadratic twists by: -23 |